NCERT Solutions for Class 6 Maths Chapter 11 Algebra

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As per latest 2024 syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters

S. no.	Equation	Value of variable	Equ.satisfied Yes/No	Sol. of LHS
(a)	10 y =80	y = 10	No	$10\times 10=100$
(b)	10 y = 80	y = 8	Yes	$10\times 8=80$
(c)	10 y = 80	y = 5	No	$10\times 5=50$
(d)	4l = 20	l = 20	No	$4\times 20=80$
(e)	4l = 20	l = 80	No	$4\times 80=320$
(f)	4l = 20	l =5	Yes	$4\times 5=20$
(g)	b + 5 =9	b = 5	No	$5+5=10$
(h)	b + 5=9	b = 9	Yes	$9+5=14$
(i)	b+5=9	b = 4	Yes	$13-8=5$
(j)	h -8 =5	h =13	Yes	$8-8=0$
(k)	h -8 =5	h = 8	No	$0-8=-8$
(l)	h -8 =5	h = 0	No	$3+3=6$
(m)	p+3=1	p = 3	No	$1+3= 4$
(n)	p+3=1	p = 1	No	$0+3= 3$
(o)	p+3=1	p = 0	No	$-1+3= 2$
(p)	p+3=1	p = -1	Yes	$-2+3= 1$
(q)	p+3=1	p = -2

m	1	2	3	4	5	6	7	8	9	10	11	12	13
m+10	11	12	13	14	15	16	17	18	19	20	21	22	23

t	3	4	5	6	7	8	9	10	11	12	13	14	15	16
5t	15	20	25	30	35	40	45	50	55	60	65	70	75	80

z	8	9	10	11	12	13	14	15	16	17	18	19	20
$\frac{z}{3}$	$\frac{8}{3}$	3	$\frac{10}{3}$	$\frac{11}{3}$	4	$\frac{13}{3}$	$\frac{14}{3}$	5	$\frac{16}{3}$	$\frac{17}{3}$	6	$\frac{19}{3}$	$\frac{20}{3}$

m	5	6	7	8	9	10	11	12	13	14	15
m - 7	-2	-1	0	1	2	3	4	5	6	7	8

Chapters No.	Chapters Name
Chapter - 1	Knowing Our Numbers
Chapter - 2	Whole Numbers
Chapter - 3	Playing with Numbers
Chapter - 4	Basic Geometrical Ideas
Chapter - 5	Understanding Elementary Shapes
Chapter - 6	Integers
Chapter - 7	Fractions
Chapter - 8	Decimals
Chapter - 9	Data Handling
Chapter -10	Mensuration
Chapter -11	Algebra
Chapter -12	Ratio and Proportion
Chapter -13	Symmetry
Chapter -14	Practical Geometry

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

Option 1) less than 3	Option 2) more than 3 but less than 6
Option 3) more than 6 but less than 9	Option 4) more than 9

NCERT Solutions for Class 6 Maths Chapter 11 Algebra